Magnetic polarizabilities of light mesons inSU(3)lattice gauge theory

Abstract

We investigate the masses (ground state energies) of neutral pseudoscalar and vector meson in SU (3) lattice gauge theory in strong abelian magnetic field. The energy of ρ 0 meson with zero spin projection sz = 0 on the axis of the external magnetic field decreases, while the energies with nonzero spins sz = −1 and +1 increase with the field. The energy of π 0 meson decrease as a function of the magnetic field. We calculated the magnetic polarizabilities of pseudoscalar and vector mesons for lattice volume 18 4 . For ρ 0 with spin |sz| = 1 and π 0 meson the extrapolations to zero lattice spacing have been done. We do not observe any evidence in favour of tachyonic mode existence.

Determination of the properties of vector mesons in external magnetic field by quenched SU(3) lattice QCD

“…Then the magnetic field was introduced in two flavor lattice QCD simulation [3] and used as the probe of QCD properties [4]. The energies of hadrons in magnetic fields have been calculated on the lattice [5][6][7][8], in theoretical models [9][10][11][12][13] and in the framework of the QCD sum rules [14,15]. The notion of the hadron polarizability was initially JHEP09(2017)142 discussed in [16,17].…”

Polarizability of pseudoscalar mesons from the lattice calculations

“…The values of magnetic polarizability for various quarks masses are a bit higher than assessments obtained in our previous work [6], where for the neutral particles we considered very simple model with only one type of quarks d. Correlation functions for d and u quarks behave differently in the external magnetic field because u and d quarks possess different absolute value of electric charges, in this work we take this into account. Further improvement of the accuracy in β m determination might be carried out due to studing the effects of finite lattice volume and lattice spacing, consideration of weaker magnetic fields.…”

“…We mention the details of calculations only breafly, because it is presented in our previous works [6,7]. For the generation of S U(3) gauge configurations we use the tadpole improved Lüscher-Weisz action.…”

The evolution of meson masses in a strong magnetic field

“…Technical details were presented in our previous work [33,34]. We use 198-336 lattice gauge configurations on the lattice with spacing a = 0.115 , f m and 195 configurations for a = 0.095 , f m in volume 18 4 .…”